Generating function
$$U_{1395}(x, y) = \frac{\frac{y}{\left(1 - x\right)^{3}} + 1}{\left(1 - x\right)^{2}}$$
Explicit formula
$$T_{1395}(n, m, k) = {\binom{k}{m}} {\binom{2 k + 3 m + n - 1}{n}}$$
1 | 1 | 0 | 0 | 0 | 0 | 0 |
2 | 5 | 0 | 0 | 0 | 0 | 0 |
3 | 15 | 0 | 0 | 0 | 0 | 0 |
4 | 35 | 0 | 0 | 0 | 0 | 0 |
5 | 7 | 0 | 0 | 0 | 0 | 0 |
6 | 126 | 0 | 0 | 0 | 0 | 0 |
7 | 21 | 0 | 0 | 0 | 0 | 0 |
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